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Finding the Fourth Proportional to 997.97, 1,497.56 and 420.84

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Solution

The fourth proportional to 997.97, 1,497.56 and 420.84 is: 631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.97 : 1,497.56 = 420.84 : x
  2. Step 2: Convert to fraction form
    997.97/1,497.56 = 420.84/x
  3. Step 3: Cross multiply
    997.97x = 1,497.56 × 420.84
  4. Step 4: Simplify right side
    997.97x = 630,231.05
  5. Step 5: Solve for x
    x = 630,231.05/997.97
  6. Step 6: Final answer
    x = 631.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.